Fix LogDDP single-shooting regressions

[astomodynamics]

• Align Python LogBarrierOptions binding with C++ options surface
• Re-roll nominal trajectory from control sequence on cold start and warm start
• Add regression tests for cold-start and warm-start trajectory consistency
• Fix stale relaxed_log_barrier_ parameters when reusing solver instance with new options on cold start

[Copilot]

Pull request overview

Fixes regressions in the LogDDP single-shooting refactor by ensuring the solver’s nominal trajectory is always dynamically consistent with the current control sequence (both for cold starts and warm-start reuse), and by aligning the Python options binding with the updated C++ options surface.

Changes:

• Re-roll the nominal state trajectory from the current control sequence during LogDDPSolver::initialize (cold start + warm start).
• Remove remaining multi-shooting/defect-tracking plumbing from LogDDP and its options surface/bindings.
• Add C++ regression tests that fail when state guesses are reused without re-rolling from controls.

Reviewed changes

Copilot reviewed 5 out of 5 changed files in this pull request and generated 1 comment.

Show a summary per file

File	Description
src/cddp_core/logddp_solver.cpp	Rolls out nominal trajectory from controls on init; removes defect/multi-shooting logic from LogDDP flow.
include/cddp-cpp/cddp_core/logddp_solver.hpp	Removes LogDDP internal storage tied to multi-shooting/defects.
include/cddp-cpp/cddp_core/options.hpp	Updates LogBarrierOptions to single-shooting surface (no longer inherits multi-shooting options).
python/src/bind_options.cpp	Aligns Python LogBarrierOptions binding with the updated C++ single-shooting options.
tests/cddp_core/test_logddp_solver.cpp	Adds regression tests for cold-start and warm-start trajectory consistency; updates existing tests to removed options.

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